1.

A journey of 800 km is done in a total of 10 hours . If 320 km is travel by train and remaining by bus . The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus . Find the ratio of the speed of the speed of train to bus .

Answer»

`2:11`
`3:11`
`1:11`
`4:11`

Solution :`{:("Case"1 : , 320 T + 480 B , to , 10 "hours") , ("Case" 2 : , 240 T + 560 B , to , 8 "hours"):}`
In case 1 , 80 km journey extra is done by train , which increases TIME by 2 hours .
If remaining journey of 480 is ALSO done by train only then time will increase by `6 xx 2` hours = 12 hour
`THEREFORE` Train will take (10 + 12) hours to complete 800 km
Similarly , in case 2 , 80 km journey extra is done by bus , which decreases time by 2 hours .
If previously 240 kms were also covered by bus , then time would be REDUCED by `( 2 xx 3)` hours= 6 hours
`therefore` Bus will take (8-6) hours to complete 800 km
`therefore` Ratio of speed = `((800)/(22))/((800)/(2)) = 1 : 11`


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