#### Ques 1.

A is 1 3/5 times quicker than B. If A gives B a start of 75 metres, Find the length of racecourse so that both to them reach the winning post at the same time.

**Ans 1. ** Let the length of racecourse be I m.

.. In a time in which A covers I m, B covers (I - 75)m.

#### Ques 2.

In a game of snooker A can give B 16 points in 80 and A can give C 15 points in 90.How many points can C give B in a game of 50 ?

**Ans 2. **When A scores 80 points B scores 64 points.

#### Ques 3.

P can run 100 m in 20 seconds and Q in 25 seconds.P beats Q by

(a) 10 m

(b) 20 m

(C) 25 m

(d) 12 m

**Ans 3.** 20 m

**Hint: ** In 20 seconds Q runs = 100/25x 20 m.

#### Ques 4.

In a 2 km race,P can give Q 200 m and R 560 m, In the same race , Q can give R

(a) 400 m

(b) 300 m

(c) 350 m

(d) 500 m

**Ans 4**. 400 m

**Hint: **When Q runs ( 2000- 200) m , R runs ( 2000 - 560) m.

#### Ques 5.

A runs 1.5 times as fast as B can. If A gives B a start of 50 m, how far must the winning post be in order that A and reach at the same time?

(a)150 m

(b) 120 m

(c) 125 m

(d) 180 m

**Ans 5**. 150 m

#### Ques 6.

P and Q run a kilometre and P wins by 1 minute .P and R run a kilometer and P wins by 375 m. Q and R run a kilometre and Q wins by 30 seconds. Find the time taken by each runner to run a kilometre.

(a) 150 sec, 210 sec, 240 sec.

(b) 120 sec, 160 sec, 230 sec.

(c) 100 sec, 160 sec, 190 sec.

(d) 140 sec, 200 sec, 230 sec.

**Ans 6.**150 sec, 210 sec, 240 sec.

**Hint: **Let the speed of P,Q and R be p,q and r ms respectively.

#### Ques 7.

A can give B 25 points, A can give C 40 points and B can give C 20 points . How many points make the game?

(a) 120

(b) 100

(c) 150

(d) 80

**Ans 7. **100

**Hint:** Let the game be of x points.

When A scores x points, B scores x- 25 points, and C scores x - 40 points.

#### Ques 8.

At a game of billiards, A can give B 12 points in a game of 40 and A can give C 10 points in a game of 50.How many points can C give B in a game of 80 ?

(a)10

(b) 20

(c) 12

(d) 18

**Ans 8. **10

**Hint:** When A scores 40 points, B scores (40-12) points.

When A scores 50 points, C scores (50- 10) points.

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