Question

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?.

Answer 1

The Required ratio between the speed of the boat and speed of the water current is 8:3.

What is ratio?

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.

Given:

Upstream time= 8 hr 48 = 8 4/5 hour

Downstream time= 4 hour

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then,

distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

x* 8 hr 48 min = y* 4 hours

x* 8 4/5= 4y

y= 11/5 x

Now,

Required ratio

(y+x)/2:(y-x)/2

= (16x/5 * 1/2): ( 6x/5 *1/2)

=8/5:3/5

=8:3

Hence, the required ratio is 8:3.

Learn more about ratio here:

brainly.com/question/13419413

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