# Speed, Time and Distance ( 6 to 10 )

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Speed Time and Distance ( 6 to 10 ):

# APTITUDE QUESTIONS (SPEED TIME AND DISTANCE):

6. A person has to cover a distance of 6km in 45 minutes. If the person covers one-half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, his speed (in km/hr) must be:
A)    5

B)    9

C)    12

D)    15

E)    None of these

Explanation:

Remaining distance = 3 km and Remaining time = (1/3*45) min = 15 min = 1/4 hour
∴ speed required = (3 * 4) km/hr = 12 km/hr

7. A person travels from P to Q at a speed of 40kmph and returns by increasing his speed by 50%. What will be the average speed for both the trips?
A)    36 kmph

B)    45 kmph

C)    48 kmph

D)    50 kmph

E)    None of these

Explanation:

Return trip speed = 150% of 40 = 60 kmph
∴ required average speed = ((2 * 40 * 60)/(40+60)) km/hr = (4800/100) km/hr = 48 km/hr

8. A person travels equal distances with speeds of 3km/hr, 4km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance (in km) is:
A)    5

B)    3

C)    1

D)    4

E)    None of these

Explanation:

Let the total distance be 3x km.
So, x/3 + x/4 + x/5 = 47/60  47x/60 = 47/60  x = 1
∴ Total distance = (3 * 1) = 3 km.

9. A car driver travels from the plains to the hill station, which is 200 km apart at an average speed of 40 km/hr. In the return trip, the person covers the same distance at an average speed of 20 km/hr. What will be the average speed of the car over the entire distance of 400 km?
A)    25 km/hr

B)    26.67 km/hr

C)    28.56 km/hr

D)    30 km/hr

E)    None of these

Explanation:

Average speed = ((2 * 40 * 20)/(40+20)) km/hr = 80/3 km/hr = 26.67 km/hr

10. A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If the boy takes 5 hours in going and coming, than the distance between his house and school is:
A)    4 km

B)    5.5 km

C)    6 km

D)    7 km

E)    None of these

Explanation:

Required average speed = ((2 * 3 * 2)/(3+2)) km/hr = 12/5 km/hr
Distance travelled = (12/5*5) km = 12 km
So, the distance between house and school = 12/2 km = 6 km.