You visited us 2 times! Enjoying our articles? Unlock Full Access!

Increase or Decrease in a Given Ratio

The ratio bet...

Question

The ratio between the rates of walking of $A$ and $B$ is $2 : 3$ and therefore $A$ takes $10$ minutes more than the time taken by $B$ to reach the destination. If $A$ had walked at double the speed, then in what time would he have covered that distance?

10

minutes

No worries! We‘ve got your back. Try BYJU‘S free classes today!

12

minutes

No worries! We‘ve got your back. Try BYJU‘S free classes today!

15

minutes

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

18

minutes

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $15$ minutes
Ratio of time taken $= \frac{1}{2} : \frac{1}{3} = 3 : 2$
Suppose $B$ takes $x$ min
Then $A$ takes $(x + 10)$ min
Thus $2 (x + 10) = 3 x$
$\Rightarrow x = 20$
Thus, $A$ takes $30$ min.
So with double speed it will take $15$ min.

Suggest Corrections

Similar questions

The ratio between speeds of the S and T is 3:5, and therefore S takes 9 minutes more than the time taken by T to reach the destination. If S had walked at double the speed, in what time would he have covered the distance?

Q. In covering a certain distance the speeds of

A

and

B

are in the ratio

3 : 4

. A takes

30

minutes more than

B

to reach the destination. The time taken by

A

to reach the destination is

Q. The ratio between the rates of walking of A and B is

2 : 3

. If the time taken by B to cover a distance is

24

minutes, find the time taken by A to cover the same distance.

Q. In covering a certain distance, the speeds of

A

and

B

are in the ratio of

3 : 4

A

takes

30

minutes more than

B

to reach the destination. The taken by

A

to reach the destination is :

Q. To reach his destination, Rajesh walks for 37 minutes, takes a taxi to travel further for 18 minutes and then travels by bus. If the total time taken for the journey is 82 minutes, estimate the time for bus ride.

Join BYJU'S Learning Program

The ratio between the rates of walking of A and B is 2:3 and therefore A takes 10 minutes more than the time taken by B to reach the destination. If A had walked at double the speed, then in what time would he have covered that distance?

The correct option is C 15 minutesRatio of time taken =12:13=3:2Suppose B takes x minThen A takes (x+10) minThus 2(x+10)=3x⇒x=20Thus, A takes 30 min.So with double speed it will take 15 min.

The ratio between the rates of walking of $A$ and $B$ is $2 : 3$ and therefore $A$ takes $10$ minutes more than the time taken by $B$ to reach the destination. If $A$ had walked at double the speed, then in what time would he have covered that distance?

The correct option is C $15$ minutes
Ratio of time taken $= \frac{1}{2} : \frac{1}{3} = 3 : 2$
Suppose $B$ takes $x$ min
Then $A$ takes $(x + 10)$ min
Thus $2 (x + 10) = 3 x$
$\Rightarrow x = 20$
Thus, $A$ takes $30$ min.
So with double speed it will take $15$ min.