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Two trains move between two towns. It takes the first train 2 hr 48 min and it takes the second 4 hr 40 min. The rate of the first train is 26 mph more thaTwo trains move between two towns. It takes the first train 2 hr 48 min and it takes the second 4 hr 40 min. The rate of the first train is 26 mph more than that of the second train. What is the distance between these towns

User Jamielynn
by
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1 Answer

2 votes

Answer:

182 miles.

Explanation:

Given:

Two trains move between two towns.

Time taken by first train = 2 hr 48 minutes =

Change minute into hour:

60 minute = 1 hour

1 minute =
(1)/(60)

48 minutes =
(1)/(60)*48=(48)/(60) =0.8\ hour

Time taken by first train in hour =
2+0.8=2.8\ hours

Time taken by second train = 4 hr 40 minutes

Similarly, 40 minutes =
(40)/(60) =0.67\ hour

Time taken by second train in hour =
4+0.67=4.67\ hours

The rate of the first train is 26 mph more than that of the second train.

Question asked:

What is the distance between these towns ?

Solution:

Let speed of second train =
x\ miles\ per\ hour

As the speed of the first train is 26 mph more than that of the second train.

Speed of first train =
26+x\ miles\ per\ hour

As two trains move between two towns means distance traveled by both train is same.

By using :
Distance=speed* time

Distance traveled by first train = Distance traveled by second train


speed* time =


(26+x)2.8=x*4.67


26*2.8+x*2.8=4.67x\\72.8+2.8x=4.67x\\

Subtracting both sides by
2.8x


72.8=1.87x

Dividing both sides by 1.87


x=38.93

Speed of second train = 38.93 miles per hour


Distance=speed* time

= 38.93
* 4.67

= 181.80 miles.

Thus, the distance between these towns is 182 miles (nearest whole number).

User Auxdx
by
8.8k points

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