Arithmatical - Times and Distance
DIRECTIONS : Problems based on time and distance.
6. |
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1x2/3 hours, it must travel at a speed of |
|
A. 300 kmph |
|
B. 360 kmph |
|
C. 600 kmph |
|
D. 720 kmph |
Solution |
Distance | = 1200 km. |
Required speed | = (1200 x 3/5)km/hr |
= 720 km/hr. |
|
7. |
A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 kms in 45 minutes. The ratio of their speed is |
|
A. 3 : 4 |
|
B. 4 : 3 |
|
C. 3 : 5 |
|
D. 5 : 3 |
Solution |
Ratio of speeds | =(550/60 x 18/5) : (33/45 x 60) |
=33 : 44 |
= 3 : 4
|
|
8. |
A boy goes to his school from his house at a speed of 3 km.hr and returna at a speed of 2 km/hr. If he takes 5 hours in going and coming, the distance between his house and school is |
|
A. 5 km |
|
B. 5.5 km |
|
C. 6 km |
|
D. 6.5 km |
Solution |
Average speed | = (2 x 3 x 2/3+2)km/hr |
= 12/5 km/hr. |
Distance travelled | = (12/5 x 5)km |
=12 km |
Distance between house and school | = (12 / 2)km |
=6 km |
|
9. |
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is |
|
A. 35.55 km/hr |
|
B. 36 km/hr |
|
C. 71.11 km/hr |
|
D. 71 km/hr |
Solution |
Total time taken | = (160/64 + 160/8)hrs |
= 9/2 hrs. |
Average speed | = (320 x 2/9) km.hr |
= 71.11 km/hr.
|
|
10. |
An athlete runs 200 metres race in 24 seconds. His speed is |
|
A. 20 km/hr |
|
B. 24 km/hr |
|
C. 28.5 km/hr |
|
D. 30 km/hr |
Solution |
Speed | = 200/24 m/sec |
= 25/3 m/sec |
= (25/3 x 18/5) km/hr |
= 30 km/hr. |
|