Scroll:Distance, Time and Speed >> Distance, Time & Speed >> ps (649)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

City A and City B are 870 km apart.
Moorthi drives at an average speed of 80 kmh from City A to City B.
At the same time, Ponnalagu drives down at an average speed of 65 kmh from City B to City A.
How far would Moorthi have travelled when they both meet on the way
km


Answer:_______________




2)  

Town Y and Town Z are 429 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 60 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 83 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
km
 


Answer:_______________




3)  

City A and City B are 520 km apart.
Kumar drives at an average speed of 75 kmh from City A to City B.
At the same time, Jeevini drives down at an average speed of 55 kmh from City B to City A.
How far would Kumar have travelled when they both meet on the way
km


Answer:_______________




4)  

Town Y and Town Z are 910 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 96 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 86 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
km
 


Answer:_______________




5)  

City A and City B are 900 km apart.
Barathan drives at an average speed of 80 kmh from City A to City B.
At the same time, Poongodi drives down at an average speed of 70 kmh from City B to City A.
How far would Barathan have travelled when they both meet on the way
km


Answer:_______________




6)  

Town Y and Town Z are 825 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 82 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 83 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
km
 


Answer:_______________




7)  

City A and City B are 540 km apart.
Barathan drives at an average speed of 75 kmh from City A to City B.
At the same time, Haritha drives down at an average speed of 60 kmh from City B to City A.
How far would Barathan have travelled when they both meet on the way
km


Answer:_______________




8)  

Town Y and Town Z are 606 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 94 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 108 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
km
 


Answer:_______________




9)  

City A and City B are 900 km apart.
Pugal drives at an average speed of 85 kmh from City A to City B.
At the same time, Kumutha drives down at an average speed of 65 kmh from City B to City A.
How far would Pugal have travelled when they both meet on the way
km


Answer:_______________




10)  

Town Y and Town Z are 668 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 87 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 80 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
km
 


Answer:_______________




 

1)  

City A and City B are 870 km apart.
Moorthi drives at an average speed of 80 kmh from City A to City B.
At the same time, Ponnalagu drives down at an average speed of 65 kmh from City B to City A.
How far would Moorthi have travelled when they both meet on the way
Answer: 480 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 80 km + 65 km
    = 145 km
Step 2: Number of hours from start time till they meet 870 km ÷ 145 kmh  
    = 6 h
Step 3: Distance travelled by Ponnalagu when they meet 80 kmh x 6 h
    = 480 km

 



2)  

Town Y and Town Z are 429 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 60 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 83 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
Answer: 180 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 60 km + 83 km
    = 143 km
Step 2: Number of hours from start time till they pass each other 429 km ÷ 143 kmh  
    = 3 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan 60 kmh x 3 h
    = 180 km

 



3)  

City A and City B are 520 km apart.
Kumar drives at an average speed of 75 kmh from City A to City B.
At the same time, Jeevini drives down at an average speed of 55 kmh from City B to City A.
How far would Kumar have travelled when they both meet on the way
Answer: 300 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 75 km + 55 km
    = 130 km
Step 2: Number of hours from start time till they meet 520 km ÷ 130 kmh  
    = 4 h
Step 3: Distance travelled by Jeevini when they meet 75 kmh x 4 h
    = 300 km

 



4)  

Town Y and Town Z are 910 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 96 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 86 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
Answer: 480 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 96 km + 86 km
    = 182 km
Step 2: Number of hours from start time till they pass each other 910 km ÷ 182 kmh  
    = 5 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan 96 kmh x 5 h
    = 480 km

 



5)  

City A and City B are 900 km apart.
Barathan drives at an average speed of 80 kmh from City A to City B.
At the same time, Poongodi drives down at an average speed of 70 kmh from City B to City A.
How far would Barathan have travelled when they both meet on the way
Answer: 480 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 80 km + 70 km
    = 150 km
Step 2: Number of hours from start time till they meet 900 km ÷ 150 kmh  
    = 6 h
Step 3: Distance travelled by Poongodi when they meet 80 kmh x 6 h
    = 480 km

 



6)  

Town Y and Town Z are 825 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 82 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 83 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
Answer: 410 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 82 km + 83 km
    = 165 km
Step 2: Number of hours from start time till they pass each other 825 km ÷ 165 kmh  
    = 5 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan 82 kmh x 5 h
    = 410 km

 



7)  

City A and City B are 540 km apart.
Barathan drives at an average speed of 75 kmh from City A to City B.
At the same time, Haritha drives down at an average speed of 60 kmh from City B to City A.
How far would Barathan have travelled when they both meet on the way
Answer: 300 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 75 km + 60 km
    = 135 km
Step 2: Number of hours from start time till they meet 540 km ÷ 135 kmh  
    = 4 h
Step 3: Distance travelled by Haritha when they meet 75 kmh x 4 h
    = 300 km

 



8)  

Town Y and Town Z are 606 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 94 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 108 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
Answer: 282 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 94 km + 108 km
    = 202 km
Step 2: Number of hours from start time till they pass each other 606 km ÷ 202 kmh  
    = 3 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan 94 kmh x 3 h
    = 282 km

 



9)  

City A and City B are 900 km apart.
Pugal drives at an average speed of 85 kmh from City A to City B.
At the same time, Kumutha drives down at an average speed of 65 kmh from City B to City A.
How far would Pugal have travelled when they both meet on the way
Answer: 510 km


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 85 km + 65 km
    = 150 km
Step 2: Number of hours from start time till they meet 900 km ÷ 150 kmh  
    = 6 h
Step 3: Distance travelled by Kumutha when they meet 85 kmh x 6 h
    = 510 km

 



10)  

Town Y and Town Z are 668 km apart, Mr Ang drives from Town Y towards Town Z at a uniform speed of 87 kmh.
Mr Chan drives from Town Z to Town Y at a uniform speed of 80 kmh.  
Both Mr Ang and Mr Chan start their journey at the same time.
How far has Mr Ang driven when he passes Mr Chan on the road
Answer: 348 km
 


SOLUTION 1 :
Step 1: Total distance travelled in 1 hour 87 km + 80 km
    = 167 km
Step 2: Number of hours from start time till they pass each other 668 km ÷ 167 kmh  
    = 4 h
Step 3: Distance travelled by Mr Ang when he passes Mr Chan 87 kmh x 4 h
    = 348 km