Model 5 Problems with Races Practice Questions Answers Test with Solutions & More Shortcuts

Question : 16 [SSC CGL Tier-I 2010]

In a 100m race, Kamal defeats Bimal by 5 seconds. If the speed of Kamal is 18 Kmph, then the speed of Bimal is

a) 14.5 kmph

b) 14 kmph

c) 14.4 kmph

d) 15.4 kmph

Answer: (c)

Time taken by Kamal

= $100/{18 × 5/18}$ = 20 seconds

Time taken by Bimal

= 20 + 5 = 25 seconds

Bimal's speed

= $100/25$ =4 m/sec = ${4 × 18}/5$ kmph

= 14.4 kmph.

Question : 17 [SSC CGL Tier-II 2017]

Rubi goes to a multiplex at the speed of 3 km/hr to see a movie and reaches 5 minutes late. If she travels at the speed of 4 km/hr she reaches 5 minutes early. Then the distance of the multiplex from her starting point is

a) 5 km.

b) 5 metre

c) 2 metre

d) 2 km.

Answer: (d)

Distance between starting point and multiplex = x metre

Time = $\text"Distance"/ \text"Speed"$

According to the question,

$x/3 - x/4 = {5 + 5}/60$

${4x - 3x}/12 = 1/6$

$x/12 = 1/6$

$x = 12/6$ = 2 km.

IMPORTANT quantitative aptitude EXERCISES

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