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Some part of a journey of $555 km$ was completed by a car with speed $60 km / h$ . After that the speed was increased by $15 km / h$ and the journey is completed. If it takes $8 hours$ to reach, calculate the time taken by $60 km / h$ speed.

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11

8

13

3

answer is D.

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Detailed Solution

Given, total distance

= 555 km

.
Total time taken

= 8 hours

.
Let time taken to cover some distance with

60 km / h

t

.
The increased speed

= 60 + 15 = 75 km / h

.
Then, time taken to cover remaining distance with

75 km / h

will be

8 - t

t (60) + (8 - t) (75) = 555

\Rightarrow 75 \times 8 - 15 t = 555

\Rightarrow 600 - 555 = 15 t

\Rightarrow t = 3 hours

Distance

=

3 \times 60 = 180 km

Therefore, the time taken by

60 km / h

speed is

3 hours

.
Hence, the correct option is 4.

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