# maths

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THE RAILROAD TRACK BETWEEN TOWN A AND TOWN B IS 500 MILES LONG THE BLUE TRAIN IS SCHEDULED TO LEAVE TOWN A FOR TOWN B AT 2 P.M THE RED TRAIN IS SCHEDULED TO LEAVE TOWN B FOR TOWN A AT 3 P.M BUT IS DELAYED 95 MINUTES DUE TO ENGINE PROBLEM . IF THE BLUE TRAIN TRAVELS 35 MPH AND THE RED TRAIN TRAVELS AT 50 MPH WHEN WILL THEY MEET

• maths -

BLUE travels for x hours, starting at 2:00
95 minutes = 19/12 hrs, so
RED travels for (x-31/12) hrs, starting at 4:35

35x + 50(x-31/12) = 500
x ~= 7.4 hrs

so they meet at 2:00 + 7.4 = 9:24 pm

check:
35km/hr for 7.4 hr = 259km
50km/hr for 4.817 hr = 241km

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