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A train covers its outward journey at 90mph.

It returns, over exactly the same distance, at 60 mph.

What is the train’s average speed over the entire journey?

its not average of 90 and 60... 60 mph journey would take longer

(i dont claim this to be my own, i liked it just)

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61 mph.?

A train covers its outward journey at 90mph.

It returns, over exactly the same distance, at 60 mph.

What is the train’s average speed over the entire journey?

its not average of 90 and 60... 60 mph journey would take longer

(i dont claim this to be my own, i liked it just)

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Average speed = Total distance divided by total time. So, if we say that the outward journey took 1 hour at 90mph, then they travelled 90 miles. Coming back that 90 miles would have taken 1.5 hours at 60mph. Total distance 180 miles divided by total travel time 2.5 hours = 72mph.

Edited by Zeron
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72 mph

Solution

distance, s = 90x t(1)

also, s = 60x t(2)

so, 90 t(1) = 60 t(2) ===> t(2) = 1.5t(1)

average speed = (s+s) / [t(1)+t(2)]

= 2 x 90 x t(1) / [ t(1) + 1.5t(1)] ...............replace t(2) = 1.5t(1) here

= 180 t(1) / 2.5t(1)............cancel off the t(1)

= 180 / 2.5

= 72 !

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