A lion takes 5 leaps for every 4 leaps of tiger but 3 leaps of tiger are equal to 4 leaps of lion. What is ratio between speed of lion to tiger?

Question

anonymous · Answer

I can be wrong :D
x lion
time :5x=4y
distance:4x=3y.
dividing both.
4/5 V(lion)=3/4

rational · Answer

15 : 16 looks right

mathmath333 · Answer

lol how did u get that @rational

anonymous · Answer

Yea it is the same answer ,but much faster :D

rational · Answer

4/5 V(lion)=3/4 V(tiger)

V(lion)/V(tiger) = 15/16

?

rational · Answer

just used Catch.me's work haha!

mathmath333 · Answer

lol i didnt see at first

rational · Answer

a less mathematical way of working it : 

`A lion takes 5 leaps for every 4 leaps of tiger`

is same as

`A lion takes 15 leaps for every 12 leaps of tiger`

rational · Answer

since we're given that `3 leaps of tiger are equal to 4 leaps of lion`, 12 leaps of tiger would equal 16 leaps of lion

mathmath333 · Answer

haha that was too confusing for me

rational · Answer

so A lion takes `15 lion leaps`  for every `16 lion leaps` of tiger

confusingly the ratio is 15:16 :P

mathmath333 · Answer

books gives $15:16$ as correct

rational · Answer

yaaay!