RACE
1. In a race of 1000 mt A can beat B by 100 mt. In (A) 20/19 m/sec (B) 20/23 m/sec
a race of 400 mt B beat C by 40 mt. In a race of
500 mt A will beat C by– (C) 23/20 m/sec (D) 19/17 m/sec
A, B 6. In a race of 200 m A runs at the speed of 10
km/h. He gives a start of 25 m to B and still
B, C coin by 3 sec. Find speed of B.
A, C
A,
(A) 95 mt (B) 50 mt B
(C) 45 mt (D) 60 mt B
2. In a race of 200 mt B can give a start of 10 mt (A) 8.4 km/h (B) 9.8 km/h
to A and C can give a start of 20 mt to B. Find
(C) 11.4 km/h (D) 6.2 km/h
the start that can C give to A in the same race.
7. In a race of one km, A gives B a start of 100 mt
B, A and stil wins by 20 sec. But if A gives B a start
C, B of 25 sec B wins by 50 mt. Find the time taken
by A to run 1 km race.
(A) 30 mt (B) 25 mt
A, B
(C) 29 mt (D) 27 mt
A, B
3. In a race of 800 mt A can beat B by 40 mt. In a B, 50 A
race of 500 mt B can beat C by 5 mt. In a race of
200 mt A will beat C by-
(A) 500/29 sec (B) 1200/29 sec
A, B
B, C (C) 700/29 sec (D) 17 sec
A, C 8. In a race of 1 km A gives B a start of 40 m and
still win by 20 sec. But if A give a start of 25
(A) 11.9 mt (B) 1.19 mt sec B wins by 80 m. Time taken by A to Run. 1
(C) 12.7mt (D) 1.27 mt km race.
4. In a 100 mt race A runs at a speed of 9 km/h. A, B
He gives a start of 10 mt to B and still defeat A, B
him by 10 sec. Find speed of B. B, 80 A
A,
B (A) 150 sec (B) 100 sec
B (C) 90 sec (D) 125 sec
(A) 7/5 m/sec (B) 9/5 m/sec 9. In a 100 mt race, Kamal defeats Vimal by 5
(C) 2 m/sec (D) 6/5 m/sec sec. If speed of Kamal is 18 km/h. Find the
speed of Vimal.
5. In a 100 mt race A runs at the speed of 5 km/h.
He gives a start of 8 mt to B and still defeat
him by 8 sec. Find speed of B.
A,
B (A) 15.4 km/h (B) 14.5 km/h
B (C) 14.4 km/h (D) 14 km/h
1 Maths By Adutiya Sir
10. A and B run a kilometre and A wins by 25 sec. A ered by A in what time?
and C run a kilometre and A wins by 275 m.
When B and C run the same distance, B wins A, B B, C C
by 30 sec. The time taken by A to run a 1½ A
kilometre is
A B A (A) 15 min (B) 30 min
A C A (C) 1 hr (D) 10 min
B C B
13. A can finish a race in 3 min 10 sec while B can
A finish the same race in 3 min 20 sec. By what
distance A will defeat B in a race of 1000 mt-
(A) 2 min 25 sec (B) 2 min 50 sec A
(C) 3 min 20 sec (D) 3 min 30 sec B
11. Two cars start at the same time from one point A, B
and move along two roads at right angles to (A) 40 mt (B) 50 mt
each other. Their speeds are 36 km/hour and
48 km/hour respectively. After 15 seconds the (C) 75 mt (D) 65 mt
distance between them will be 14. A is 1.2/3 faster than B, A gives 120 mt start
to B in a race. Find the length of race if both
finish the race at same time.
A, B A, B
(A) 400 m (B) 150 m
(C) 300 m (D) 250 m
(A) 15 min (B) 30 min
12. A is twice as fast as B and B is thrice fast as C.
The journey covered by C in 1½ hr will be cov- (C) 1 hr (D) 10 min
2 Maths By Adutiya Sir
