Question

Fireman A climbs up 15 rungs of a ladder in 5 seconds, Fireman B climbs up 12 rungs of a ladder in 6 seconds, and Fireman C climbs up 14 rungs of a ladder in 7 seconds. Which firemen climb the ladder at the same rate?

Answer 1

Fireman B,Fireman C

Explanation:

Let the rate of fireman A be
`r_(a)`.

Let the rate of fireman B be
`r_(b)`.

Let the rate of fireman C be
`r_(c)`.

Rate of any fire man is defined as the ratio of number of rungs of ladder he climbed to the time he takes to climb them.

It is given that fireman A takes
`5` seconds for
`15` rungs.

`r_(a)`=
`(15)/(5)=3`.

It is given that fireman B takes
`6` seconds for
`12` rungs.

`r_(a)`=
`(12)/(6)=2`.

It is given that fireman C takes
`7` seconds for
`14` rungs.

`r_(a)`=
`(14)/(7)=2`.

It is evident from above data that fireman B,C climb ladder at the same rate.