Question

in 2 days and 20 hours a watch gains 20 seconds find how much time the watch will take to gain 35 seconds

Answer 1

Given,

To gain 20 seconds, the watch takes 2 days and 20 hours.

Since 1 day = 24 hours and 1 hour = 60 seconds,

To gain 20 seconds, the watch takes ( 2 * 24 * 60 + 20 * 60 ) seconds.

Simplifying,

To gain 20 seconds, the watch takes 4080 seconds.

Hence,

To gain 1 second, the watch takes ( 4080 / 20 ) seconds.

To gain 1 second, the watch takes 204 seconds.

Hence,

To gain 35 seconds, the watch takes ( 204 * 35 ) seconds.

On simplifying we get,

To gain 35 seconds, the watch takes 7140 seconds.

Converting the answer back to hours,

To gain 35 seconds, the watch takes 119 hours.

Answer 2

Solutions :-


We have,

In 2 days and 20 hours a watch gains 20 seconds.

Let in x hours a watch will take to gain 35 seconds.


Firstly,
Convert 2 days and 20 hours in hours :-

1 day = 24 hours
2 days = 24 × 2 = 48 hours

So, 2 days and 20 hours = (48 + 20)hours = 68 hours


Now,

Find the value of x :-

A/q

=> 20/68 = 35/x
=> 20 × x = 35 × 68
=> 20x = 2340
=> x = 2340/20 = 119

We get the value of x
x = 119


Answer : In 119 hours a watch will take to gain 35 seconds.