SSC MTS Model Paper 3

Question : 42 of 150

Marks: +1, -0

Priyanka covers a distance in the ratio 2 : 3 : 5 and covers the respective distance at the speed of 10 km/hr, 15 km/hr and 20 km/hr. Find the average speed of the Priyanka to cover the whole distance.

$18{5/13}$
$15{5/13}$
$15{1/13}$
$17{1/13}$

Validate

Solution:

Let the distances be 2x, 3x and 5x km covered by Priyanka. Then,
Speed

= { { Distance } }/ { { Time } }

Required average speed=

{ 2 x + 3 x + 5 x }/ { { 2 x }/ { 10 } + { 3 x }/ { 15 } + { 5 x } /{ 20 } } = { 10 x } /{ 39 x } × 60

= { 200 } /{ 13 } = 15 { 5 }/ { 13 } { km } / { hr }

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