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Question 14 Marks
Kapil is an expert cyclist. Every morning he starts from his home on his cycle and rides on the road running parallel to the railway track, to reach the railway crossing, 27 km away from his home.
Q.1. Today he managed to reach the railway crossing in 3 hours. Find his speed in m/sec:
(a) 2 m/sec$\quad$$\quad$ (b) 2.5 m/sec $\quad$$\quad$(c) 3 m/sec $\quad$$\quad$(d) 4.5 m/sec
Q.2. If tomorrow he wishes to cover this distance in 2 hours, by how much does he need to increase his speed?
(a) 1.25 m/s$\quad$$\quad$ $\quad$$\quad$(b) 1.5 m/s$\quad$$\quad$ (c) 1.75 m/s $\quad$$\quad$(d) 2.25 m/s
Q.3. Today, he has to stop at the railway crossing for a train to pass. What time will the train 180 m long, running at 54 km per hour take to pass him:
(a) 9 sec$\quad$$\quad$(b) 10 sec $\quad$$\quad$(c) 12 sec $\quad$$\quad$(d) 15 sec
Q.4. What time will this train take to pass a platform 300 m long at the speed of 10 m/s?
(a) 30 sec $\quad$$\quad$(b) 32 sec $\quad$$\quad$(c) 36 sec$\quad$$\quad$ (d) 35 sec
Answer
1. (B)
2. (A)
3. (C)
4. (A)
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[4 marks sum] - MATHS STD 7 Questions - Vidyadip