Time and Distance Practice Test 3 with solutions

Question : 16 of 40

Marks: +1, -0

If Nilesh had driven 50 km/hr faster than he would have reached his distination an hour earlier in a distance of 300 km, what is the usual speed of Nilesh?

100 km/hr
50 km/hr
75 km/hr
60 km/hr
80 km/hr

Validate

Solution:

Let the usual speed of Nilesh = x
New speed = x + 50
According to the question,

{300}/x-{300}/{x+50}

= 1

1/x - 1/{x+50}

1/{300}

{50}/{x^2+50x}

1/{300}

15,000 =

x^2

+ 50x

x^2

+ 50x - 15,000 = 0, x = 100 km/hour

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