+0

0
120
1

Two trains, 350 miles apart, travel toward each other, on different tracks.One leaves at noon and travels 50mph. The other leaves at 1 PM, traveling at 70 mph. At what time will they pass each other.

Please show all steps!  I need the answer really in a quickly!

Oct 29, 2019

#1
+109202
+1

The first train travels H hours

The second train travels  one hour less  = H  -1

And rate * time  = distance....so....

50*H  + 70 * (H - 1)    =  350       simplify

50H + 70H  - 70  = 350

120H  - 70  =  350      add 70 to both sides

120H  = 420             divide both sides  by 120

H  = 420 /120   =  3.5 hrs

So....they meet  at   3:30 PM

Oct 29, 2019
The text contains a mathematical word problem about two trains traveling towards each other, and a detailed solution is provided.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
+0

0
120
1

Two trains, 350 miles apart, travel toward each other, on different tracks.One leaves at noon and travels 50mph. The other leaves at 1 PM, traveling at 70 mph. At what time will they pass each other.

Please show all steps!  I need the answer really in a quickly!

Oct 29, 2019

#1
+109202
+1

The first train travels H hours

The second train travels  one hour less  = H  -1

And rate * time  = distance....so....

50*H  + 70 * (H - 1)    =  350       simplify

50H + 70H  - 70  = 350

120H  - 70  =  350      add 70 to both sides

120H  = 420             divide both sides  by 120

H  = 420 /120   =  3.5 hrs

So....they meet  at   3:30 PM

Oct 29, 2019
user
The text contains a mathematical word problem about two trains traveling towards each other, and a detailed solution is provided.

TYPE: SINGLE_QUESTION_WITH_ANSWER