Quantitative Aptitude on Times and Distance
Q41. Hari can run 200m in 54 seconds and Jadu in 60 seconds. Hari beats Jadu by
(a) 15 m
(b) 18 m
(c) 20 m
(d) 23 m
Answer: (c) 20 m
In 60 second Jadu covered the distance = 200 m
∴ In (60 - 54) = 6 seconds Jadu covered the distance = (200/60) X 6 m = 20 m
∴ Hari beats jadu by 20 m
Q42. In a 1000 m race, the ratio of the speeds of A and B is 2:3 . A has a start of 600 m . A wins by
(a) 320 m
(b) 325 m
(c) 350 m
(d) 400 m
Answer: (d) 400 m
To reach the winning post A has to cover (1000 - 600) m = 400 m
While A covers 2 m, B covers 3 m
While A covers 800 m, B covers ((3/2) X 400) m = 600 m
∴ A wins by (1000 - 600) m = 400 m
Q43. In a 100m race, A can give B 10 m and c 37 m. In the same race, B can give C
(a) 30 m
(b) 35 m
(c) 38 m
(d) 40 m
Answer: (a) 30 m
A:B:C = 100:90:63
∴ B:C = 90:63
| = | 90 | = | 90 X (100/90) | = | 100 | = 100 : 70 |
| 63 | 63 X 100/90 | 70 |
∴ B can give C in 30 m
Q44. X and Y take part in a 100m race. X runs at 5 km/hr. X gives Y a start of 10m and still beats him by 8 seconds. Y's speed is
(a) 3.06 km/hr
(b) 3.09 km/hr
(c) 4.05 km/hr
(d) 4.07 km/hr
Answer: (c) 4.05 km/hr
X's speed = (5 X (5/18))m/sec = 25/18 m/sec
Time taken by X to cover 100 m = (100 X (18/25)) sec = 72 sec
Y covers 90 m in (72+8) sec = 80 sec
| ∴ Y's speed = | 90 | m/sec = ( | 90 | X | 18 | ) km/hr = 4.05 km/hr |
| 80 | 80 | 5 |
Q45. A can run 20m while B runs 25m. In a 2 km race B beats A by
(a) 375 m
(b) 385 m
(c) 400 m
(d) 425 m
Answer: (c) 400 m
In 25 m race B beats A by 5m
In 2000 m race B beats A by ( (5/25) X 2000 ) m = 5 X 80 m = 400 m
Practice Test Exam