Question

Q.51 On a journey across Mumbai, a taxi moves average 25 km per hr for 50 % of the distance, 20 km per hr for 40% of it and 10 km per hr for remaining. The average speed in (km/hr) for the complete journey is
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Answer 1

Answer:

Correct option is

A

18

Avg Speed =

25

50

+

20

40

+

15

90

50+40+90

=18 km/hr

Answer 2

SOLUTION

GIVEN

On a journey across Mumbai, a taxi moves average 25 km per hr for 50 % of the distance, 20 km per hr for 40% of it and 10 km per hr for remaining.

TO DETERMINE

The average speed in (km/hr) for the complete journey

EVALUATION

Let total journey = 100x km

The taxi moves average 25 km per hr for 50 % of the distance

50% of the distance = 50x km

Time taken = 50x/25 hour = 2x hour

The taxi moves average 20 km per hr for 40 % of the distance

40% of the distance = 40x km

Time taken = 40x/20 hour = 2x hour

Remaining distance

= 100x - 50x - 40x km

= 10x km

Time taken when speed is 10km/hr

= 10x/10 hour

= x hour

Total distance travelled = 100x km

Total time taken

= ( 2x + 2x + x ) km

= 5x km

Hence the required average speed

= 100x/5x km/hour

= 20 km/hour

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