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scZoUnD [109]
3 years ago
9

Two trains leave stations 306 miles apart at the same time traveling toward each other one is traveling at 90 mph the other at 8

0 mph how long before they meet
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0

Answer:

They will meet in 1.8 hours.

Step-by-step explanation:

Given that, distance between trains = 306 miles

Let they take time 't' to meet each other.

Speed of first train = 90 mph

Speed of second train = 80 mph

Let distance traveled by first train = D_1 miles

Formula for distance:

Distance = Speed \times Time

Distance traveled by first train, D_1 = 90t

Let distance traveled by first train = D_2 miles

Formula for distance:

Distance = Speed \times Time

Distance traveled by first train, D_2 = 80t

Total distance traveled is 306 miles.

i.e.

D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =\dfrac{306}{170}\\\Rightarrow \bold{t=1.8\ hr}

They will meet in 1.8 hours.

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