You visited us 5 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Other

Quantitative Aptitude

Ratio & Proportion

The ratio bet...

Question

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?

9 min 45 sec

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

10 min 45 sec

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

12 min 15 sec

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

15 min 30 sec

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

11 min 15 sec

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

Open in App

Solution

The correct option is E
11 min 15 sec

Ratio of speeds of S and T = 3:5

$∴$ Ratio of time = 5:3

S takes 9 min more.

5x - 3x = 9 min $\Rightarrow$ x = 4.5 min

S's time = 5 $\times$ 4.5 = 22.5 min

S covers the distance in 22.5 min, if its speed is `5x'

If his speed is doubled i.e. 10x, then he will cover the distance in 11.25 min

=> 11.25 min = 11 min 15 sec

Suggest Corrections

Similar questions

Q. The ratio between the rates of walking of

A

and

B

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?

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. After covering a distance of

30 k m .

With a uniform speed there is some defect in a train enzine and therefore its speed is reduce to

4 / 5

of its original speed consiquetely the train reaches its destination late by

45

minutes had it happened after covering

18 k m .

More the train would have reached

9

minutes earlier find the speed of the train and distance of journey.

Q. After covering a distance of

30 k m

with a uniform speed there is some defect in a train engine and therefore its speed is reduced to

\frac{4}{5}

of its original speed. Consequently the train reaches its destination late by

45

minutes. Had it happened after covering

18

kilometers more the train would have reached

9

minutes earlier, find the speed of the train and the distance of journey.

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 :

Join BYJU'S Learning Program