Model 3 Problems on average speed Practice Questions Answers Test with Solutions & More Shortcuts

Question : 36 [SSC Graduate Level Tier-II 2013]

A train goes from Ballygunge to Sealdah at an average speed of 20 km/hour and comes back at an average speed of 30 km/hour. The average speed of the train for the whole journey is

a) 25 km/hr

b) 24 km/hr

c) 27 km/hr

d) 26 km/hr

Answer: (b)

UsingRule 5,

Required average speed

= ${2 × 30 × 20}/{30 + 20}$

[Since, Distance covered is same]

= ${2 × 30 × 20}/50 = 24$ kmph

Question : 37 [SSC CPO S.I.2009]

A constant distance from Chennai to Bangalore is covered by Express train at 100 km/hr. If it returns to the same distance at 80 km/hr, then the average speed during the whole journey is

a) 88.98 km/hr

b) 88.89 km/hr

c) 90.20 km/hr

d) 88.78 km/hr

Answer: (b)

Using Rule 5,

If same distance are covered at two different speed of x and y kmph,

the average speed of journey = ${2xy}/{x + y}$

= $({2 × 100 × 80}/{100 + 80})$ kmph

= 88.89 kmph

Question : 38 [SSC CHSL 2016]

A man goes to a place on bicycle at speed of 16 km/hr and comes back at lower speed. If the average speed is 6.4 km/hr in total journey, then the return speed (in km/hr) is :

a) 6

b) 4

c) 10

d) 8

Answer: (b)

Let the speed of cyclist while returning be x kmph.

Average speed = ${2 × 16 × x}/{16 + x}$

6.4 = ${32x}/{16 + x}$

6.4 × 16 + 6.4x = 32x

32x - 6.4x = 6.4 × 16

25.6x = 6.4 × 16

$x = {6.4 × 16}/{25.6}$ = 4 kmph.

Question : 39 [SSC CPO S.I.2008]

A man travels a distance of 24 km at 6 kmph. Another distance of 24 km at 8 kmph and a third distance of 24 km at 12 kmph. His average speed for the whole journey (in kmph) is

a) 2$10/13$

b) 9

c) 8$2/3$

d) 8

Answer: (d)

Using Rule 2,

Total distance

= 24 + 24 + 24 = 72 km.

Total time

= $(24/6 + 24/8 + 24/12)$ hours

= (4 + 3 + 2) hours = 9 hours

Required average speed

= $\text"Totaldistance"/ \text"Total time" = 72/9$ = 8 kmph.

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