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A man travels 370 km, partly by train and partly by car.

If he covers 250 km by train and the rest by car, it takes him 4 hours, but if he travels 130km by train and the rest by car he takes 18 min. longer. Find the speed of the train and car. BEST ENTRIES WILL BE GIVEN 'BRAINLIEST ANSWER' TITLE.

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Let the speed of the car be C kmph Let the speed of the train be T kmph

4 hours = 250 km / T kmph + (370 - 250) km / C kmph

4 = 250/T + 120/C -- equation 1

4 hrs 18 minutes = 130 km / T kmph + (370 - 130)km / C kmph 258/60 = 4.3 = 130 / T + 240 / C --- equation 2

Multiply equation 1 by 2 and subtract equation 2 from it.

In the first case,let train and car travel 250 kms and 120 kms in time t hrs and (4-t) hrs respectively.

In second case, train and car travel 130 kms and 240 kms in time (130/250)t hrs and (240/120)(4-t) hrs , i.e., in time (13/25)t hrs and 2x(4-t) hrs respectively as time taken is directly proportional to distance when speed remains the same.

Total time in second case is 4hrs18min or (43/10 hrs, hence (13/25)xt + 2x(4-t) = 43/10 This gives t = 2.5 hrs (Verify yourself). Hence speed of train and car is 100 km/h and 80 km/h respectively.(calculate from above data of distance traveled by train and car). ------------------------------------------------------------------------------------------------- Request: This forum is for helping those who actually need help. Do not make this a testing ground. Everybody here is humbly and willingly helping without looking for rewards. So please, post only those questions which you really do not understand. you may also post a solution you have for a question but do not understand certain step or steps in the solution.