Aptitude  Races and games  Practice Q&A-Easy

Answer: 25 m
Explanation:

A : B = 200 : 169.

A : C = 200 : 182.

$ \dfrac{C}{B} $=$ \left(\dfrac{C}{A} \times\dfrac{A}{B} \right) $=$ \left(\dfrac{182}{200} \times\dfrac{200}{169} \right) $= 182 : 169.

When C covers 182 m, B covers 169 m.

When C covers 350 m, B covers$ \left(\dfrac{169}{182} \times 350\right) $m= 325 m.

Therefore, C beats B by $\left(350 - 325\right)$ m = 25 m.

Answer: 20 m
Explanation:

Distance covered by B in 9 sec. =$ \left(\dfrac{100}{45} \times 9\right) $m= 20 m.

$\therefore$ A beats B by 20 metres.

Answer: 10 points
Explanation:

A : B = 100 : 80.

A : C = 100 : 72.

$\therefore \dfrac{B}{C} $=$ \left(\dfrac{B}{A} \times\dfrac{A}{C} \right) $=$ \left(\dfrac{80}{100} \times\dfrac{100}{72} \right) $=$ \dfrac{10}{9} $=$ \dfrac{100}{90} $= 100 : 90.

$\therefore$ B can give C 10 points.

Answer: 33 sec
Explanation:

B runs 35 m in 7 sec.

$\therefore$ B covers 200 m in$ \left(\dfrac{7}{35} \times 200\right) $= 40 sec.

Bs time over the course = 40 sec.

$\therefore$ As time over the course $\left(40 - 7\right)$ sec = 33 sec.

Answer: 100 m
Explanation:

When B runs 25 m, A runs$ \dfrac{45}{2} $m.

When B runs 1000 m, A runs$ \left(\dfrac{45}{2} \times\dfrac{1}{25} \times 1000\right) $m= 900 m.

$\therefore$ B beats A by 100 m.

Answer: 80 sec
Explanation:

B runs$ \dfrac{45}{2} $m in 6 sec.

$\therefore$ B covers 300 m in$ \left(6 \times\dfrac{2}{45} \times 300\right) $sec= 80 sec.

Answer: 200 m
Explanation:

Ratio of the speeds of A and B =$ \dfrac{5}{3} $: 1 = 5 : 3.

Thus, in race of 5 m, A gains 2 m over B.

2 m are gained by A in a race of 5 m.

80 m will be gained by A in race of$ \left(\dfrac{5}{2} \times 80\right) $m= 200 m.

$\therefore$ Winning post is 200 m away from the starting point.

Answer: 28 m
Explanation:

A : B = 100 : 75

B : C = 100 : 96.

$\therefore$ A : C =$ \left(\dfrac{A}{B} \times\dfrac{B}{C} \right) $=$ \left(\dfrac{100}{75} \times\dfrac{100}{96} \right) $=$ \dfrac{100}{72} $= 100 : 72.

$\therefore$ A beats C by $\left(100 - 72\right)$ m = 28 m.

Answer: 25 m
Explanation:

While A covers 1000 m, B covers $\left(1000-40\right)$=960 m and C covers $\left(1000-64\right)$=936 m

i.e., when B covers 960 m, C covers 936 m

$\text{When B covers 1000 m, C covers }\dfrac{936}{960} \times 1000\text{ = 975 m}$

i.e., B can give C a start of $\left(1000-975\right)$ = 25 m

Answer: 20
Explanation:

While A scores 90 points, B scores $\left(90-15\right)$=75 points and C scores $\left(90-30\right)$= 60 points

i.e., when B scores 75 points, C scores 60 points

$\text{=> When B scores 100 points, C scores }\dfrac{60}{75}\times 100\text{ = 80 points}$

i.e., in a game of 100 points, B can give C $\left(100-80\right)$=20 points