A train travelling at a uniform speed crosses
a boy standing on a platform in 20 seconds and the platform which is 320 m long
in 36 seconds. Find the length of the train. .
(a) 360 m
(b) 540 m
(c) 500 m
(d) 400 m
Two trains have lengths of 300 m and 200 m.
If they run on parallel tracks in the same direction, the faster train crosses
the slower train in 50 seconds. If they instead run on parallel tracks with the
same speeds in the opposite directions, they take 10 seconds to cross each
other. Find the speed of the faster train. .
(a) 25 m/sec
(b) 35 m/sec
(c) 30 m/sec
(d) 40 m/sec
A boatman rows 1 km in 4 minutes along the
stream and 18 km in 2 hours against the stream. Find the speed of the boatman in
still water. .
(a) 10 kmph
(b) 11 kmph
(c) 12 kmph
(d) 13 kmph
A motor boat has a speed of 11 km/hr in still
water. It travelled a distance of 105 km upstream and then returned to its
starting point. The total travel time for this journey was 22 hours. Find the
speed of the stream. .
(a) 4.5 km/hr .
(b) 3 km/hr
(c) 3.5 km/hr .
In a 1 km race, A beats B by 100 m and C by
150 m. In a 2700 m race, by how many metres does B beat C? .
(a) 120 m
(b) 150 m
(c) 210 m
(d) 180 m
A and B are running around a circular track
of length 600 m in the opposite directions at speeds of 15 m/s and 10 m/s
respectively starting at the same time from the same point. In how much time
will they meet for the first time anywhere on the track? .
(a) 60 sec
(b) 24 sec
(c) 36 sec
(d) 50 sec
P, Q, R and S started running simultaneously
from a point on a circular track. They took 600 seconds, 900 seconds, 1080
seconds and 1350 seconds to complete one round. Find the time taken by them to
meet at the starting point for the first time. .
(a) 1½ hrs
(b) 3 hrs
(c) 2 hrs
(d) 4 hrs
How long will three persons starting at the
same point and travelling at 4 km/hr, 6 km/hr and 8 km/hr around a circular
track 2 km long take to meet at the starting point?
(a) 1/2 hr
(b) 1 hr
(c) 1½ hrs
(d) 2 hrs
A train, 180 m long, crossed a 120 m long
platform in 20 seconds, and another train travelling at the same speed crossed
an electric pole in 10 seconds. In how much time will they cross each other
when they are travelling in the opposite directions? .
(a) 11 sec
(b) 13 sec
(c) 12 sec
(d) 14 sec
A man takes 25 minutes to row five-fourth of
a kilometre against the current and 20 minutes to return to the starting point.
Find the ratio of his speed in still water to the speed of the current. .
(a) 4 : 1
(b) 7 : 1
(c) 6 : 1
(d) 9 : 1