Time and Distance

tarunceo

Par 100 posts (V.I.P)
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. 9
B. 10
C. 12
D. 20
 

tarunceo

Par 100 posts (V.I.P)
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

A. 8 hours
B. 10 hours
C. 12 hours
D. 24 hours
 

tarunceo

Par 100 posts (V.I.P)
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. 9
B. 10
C. 12
D. 20
 

tarunceo

Par 100 posts (V.I.P)
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

A. 50 km
B. 56 km
C. 70 km
D. 80 km
 
A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
 
A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters?
 
Jim travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed.
What is the average speed of Jim's travel in mph?
 
A man can row 50 km upstream and 72 km downstream in 9 hours. He can also row 70 km upstream and 90 km downstream in 12 hours. Find the rate of current.
 
A man can row 50 km upstream and 72 km downstream in 9 hours. He can also row 70 km upstream and 90 km downstream in 12 hours. Find the rate of current.

Correct Answer is 4 kmph

Explanatory Answer

Let x and y be the upstream and downstream speed respectively.

Hence, 50/x + 72/y = 9 and 70/x + 90/y = 12
Solving for x and y we get x = 10 km/hr and y = 18 km/hr

We know that Speed of the stream = 1/2 * (downstream speed - upstream speed)
= 1/2 (18 - 10) = 4 km/hr.
 
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. 9
B. 10
C. 12
D. 20

The right answer is B i.e, 10
Explanation :

Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = {9/54 * 60}min = 10 min
 
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

A. 8 hours
B. 10 hours
C. 12 hours
D. 24 hours

Option C is the right answer.

Explanation :
A's 1 hour's work = 1/4;
(B + C)'s 1 hour's work = 1/3
A + C)'s 1 hour's work = 1/2
A + B + C)'s 1 hour's work -= [1/4 + 1/3] = 7/12
B's 1 hour's work = [7/12 - 1/2] = 1/12

So B alone will take 12 hours to do the work.
 
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

A. 50 km
B. 56 km
C. 70 km
D. 80 km

Answer: Option A i.e, 50 km

Explanation:

Let the actual distance traveled be x km.
Then, x/10 = x+20/ 14
14x = 10x + 200
4x = 200
x = 50km.
 
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