At 10 a.m., a train leaves Salt Lake City traveling north at 40 miles per hour. At 2 p.m., another train leaves Salt Lake City t

Question

Mama L [17]

1 year ago

10

At 10 a.m., a train leaves Salt Lake City traveling north at 40 miles per hour. At 2 p.m., another train leaves Salt Lake City t

raveling south at 50 miles per hour.
What time are the two trains the same distance from Salt Lake City?

Mathematics

1 answer:

Elenna [48] · Answer 1 · 2024-02-23T16:34:31+03:00

The time the two trains are at the same distance from salt lake city is 6:am

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

Let the distance between salt lake city and the two trains be x and the time they are at the same distance x be t.

distance traveled by first train,

speed = distance/time

40 = x/t

making x subject of the equation and cross multiplying,

x = 40t--------------1

Also train 2 moved 4 hours later by 2pm, so the its time is t - 4

speed = distance /time

50 = x/t - 4

x = 50(t - 4)---------------2

Equating equations 1 and 2, we have

50(t - 4) = 40t