Model 1 Basic Time & Distance using formula Practice Questions Answers Test with Solutions & More Shortcuts

Question : 21 [SSC MTS 2013]

A bullock cart has to cover a distance of 120 km. in 15 hours. If it covers half of the journey in $3/5$th time, the speed to cover the remaining distance in the time left has to be

a) 15 km/hr

b) 10 km/hr

c) 6.67 km/hr

d) 6.4 km/hr

Answer: (c)

Using Rule 1,

Remaining time

= $2/5 × 15 = 6$ hours

Required speed

= $60/6$ = 10 kmph

Question : 22 [SSC CHSL 2012]

A man walks 'a' km in 'b' hours. The time taken to walk 200 metres is

a) ${ab}/200$ hours

b) $b/a$ hours

c) $b/{5a}$ hours

d) ${200b}/a$ hours

Answer: (b)

Using Rule 1,

Man's speed = $\text"Distance"/ \text"Time"$

= $a/b$ kmph = ${1000a}/b$ m/hour

Time taken in walking 200 metre

= $200/{{1000a}/b} =b/{5a}$ hours

Question : 23 [SSC CGL Prelim 2000]

A man crosses a road 250 metres wide in 75 seconds. His speed in km/hr is :

a) 15

b) 12.5

c) 12

d) 10

Answer: (b)

Using Rule 1,

Speed = $\text"Distance"/\text"Time" = 250/75$

= $10/3$ m/sec = $10/3 × 18/5$ km/hr

[Since, 1 m/s = $18/5$ km/hr]

= 2 × 6 km/hr. = 12 km/hr.

Question : 24 [SSC CGL Tier-I 2012]

The speed 3$1/3$ m/sec when expressed in km/hour becomes

a) 12

b) 10

c) 9

d) 8

Answer: (a)

Since, 1 m/sec = $18/5$ kmph

$10/3$ m/sec

= $18/5 × 10/3$ = 12 kmph

Question : 25 [SSC CGL Prelim 1999]

An aeroplane covers a certain distance at a speed of 240 km hour in 5 hours. To cover the same distance in 1$2/3$ hours, it must travel at a speed of :

a) 720 km./hr.

b) 600 km./hr.

c) 360 km./hr.

d) 300 km./hr.

Answer: (a)

Using Rule 1,

Let the required speed is x km/ hr

Then, $240 × 5 = 5/3 × x$

x = 720 km/hr.

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