 # Speed, Time and Distance ( 11 to 15 )

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Speed Time and Distance ( 11 to 15 ):

# APTITUDE QUESTIONS (SPEED TIME AND DISTANCE):

11. A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. What will be the average speed for the first 320 km of the tour?

A)    30 km/hr

B)    60 km/hr

C)    71.11 km/hr

D)    70 km/hr

E)    None of these

Explanation:

Let total time taken = (160/64+160/8 ) hrs = 9/2 hrs.
∴ Average speed = (320*2/9 ) km/hr = 71.11 km/hr

12. A train running at 7/11 of its own speed reached a place in 22 hours. If the train run at its own speed, than how much time could be saved?

A)    7 hours

B)    8 hours

C)    14 hours

D)    16 hours

E)    None of these

Explanation:

New speed = 7/11 of usual speed
∴ New time = 11/7 of usual time
So, 11/7 of usual time = 22 hrs => usual time = ((22 * 7 )/11) = 14 hrs.
So, time saved = (22 – 14) = 8 hrs.

13. A man can reach a certain place in 30 hours. If the man speed is reduced by 1/15 th. Then he goes 10km less in that time. Find his speed.

A)    4 km/hr

B)    5 km/hr

C)    51/2 km/hr

D)    6 km/hr

E)    None of these

Explanation:

Let the speed be x km/hr.
So, 30x – 30 * (14/15)x = 10  2x = 10  x = 5 km/hr

14. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. So, for how many minutes does the bus stop per hour?

A)    9

B)    10

C)    12

D)    20

E)    None of these

Explanation:

Due to stoppages, it covers 9 km less.
Let time taken to cover 9 km = (9/54*60) min = 10 min.

15. In covering a certain distance of 30 km, Ram takes 2 hours more than Arjun. If Ram doubles his speed, then he would take 1 hour less than Arjun. Ram’s speed is:

A)    5 kmph

B)    7 kmph

C)    6 kmph

D)    8 kmph

E)    None of these

Explanation:

Let Ram’s speed be x km/hr.
So, 30/x- 30/2x = 3  6x = 30  x = 5 km/hr