SSC MTS 5 Aug 2019 Shift 2 Paper

Question : 38 of 100

Marks: +1, -0

A travels a certain distance with three different speeds; first 3 km with a speed of 9 km/h, second 6 km with a speed of 15 km/h, and third 9 km with a speed of 18 km/h. What is the average speed of A for the whole journey?

$460/37$ km/h
$540/37$ km/h
$660/37$ km/h
$480/37$ km/h

Validate

Solution:

Average of speed=

{\T\o\t\a\l \d\i\s\t\a\n\c\e/}{\T\o\t\a\l \t\i\m\e}

{\d_1+\d_2+\d_3}/{\d_1/\s_1+\d_2/\s_2+\d_3/\s_3}

⇒ Average of speed =

{3+6+9}/{3/9+6/15+9/18}=18/{{30+36+45}/90}

⇒ Average of speed =

{18×90}/111={6×90}/37=

540/37

km/h
∴ The average speed of A for the whole journey is (540/37) km/h.

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