Time and Distance Practice Test 3 with solutions

Question : 29 of 40

Marks: +1, -0

Paschim Express left Delhi for Mumbai at 14.30 hours travelling at a speed of 60 kmph. August Kranti Express left Delhi for Mumbai on the same day at 16:30 hours travelling at a speed of 80 kmph. How far away from Delhi will the two trains meet (stoppages excluded)?

500 km
480 km
360 km
240 km

Validate

Solution:

Speed of Paschim Express = 60 kmph
Starting Time = 14.30 hour
Speed of August Kranti Express = 80 kmph
Starting time = 16.30 hours
So, the distance covered by Paschim Express in 2 hours = speed × time = 60 × 2 = 120 kms
According to the statement,
Reaching time is the same = y hours
Let distance covered by August Kranti Express = x km
Let the distance covered by Paschim Express = (x - 120) kms.
So , y =

x/{80}

... (i)
y =

{x-120}/{60}

... (ii)
From (i) and (ii)

x/{80}

{x-120}/{60}

60x = 80x - 9,600
20x = 9,600
x = 480 kms

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