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35 votes
35 votes
A freight train was supposed to travel 1300 miles in 50 hours. When the train had traveled 0.4 of this distance, it was delayed by 4 hours. What should the new speed of the train be to arrive on time?HELLPASAP

User Flauwekeul
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3.1k points

1 Answer

21 votes
21 votes

Answer:

The answer is 30 miles per hour

Explanation:

1) From the question we can calculate the initial speed of the train

Initial speed = 1300 miles / 50 hours
= 26 miles / hour


2) Next, we can calculate the amount of distance already traveled:

Distance traveled = 1300 * 0.4

= 520 miles


3) Now let's calculate the amount of time it took to travel the 520 miles:
From point no. 1 we saw that it was traveling at the speed of 26 miles/ hour, so let's calculate the time elapsed.

Time elapsed = 520 miles / 26 hours

= 20 hours
But then again the text states the train was delayed by 4 hours, therefore the total time elapsed was 24 hours

4) Now to find the new speed required to arrive on time, we need to calculate how many hours and distance are left:

From point no. 2 we calculate the distance left
Distance left = 1300 - 520
= 780 miles

From point no. 3 we can calculate the amount of time left:
Time left = 50 - 24
= 26 hours

Finally, we can find the new speed required to arrive on time:
New speed = 780 miles / 26 hours
= 30 miles / hour

User Merlinabarzda
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2.9k points