a's speed is 1.5 times b's speed vs a is 1.5 times faster

Question

Hi all

I have a basic question on these 2 questions.
1.A's speed is 1.5 times b's speed.The ratio of their speeds is ? Ans 3:2
2.A is 1.5 times faster than b.Ratio of their speeds is? Ans 5:2

I can understand problem 1,ratio of a/b = 1.5
 = 1.5*2/1*2 = 3:2

But how is problem 2 different from problem 1 to give an answer of 5:2?

Thanks
Vandhana

Vips0000 · Answer

Hi Vandhana,

If you try to write these stems using algebra, you would be able to see the difference clearly.

1. A = 1.5B (A is 1.5  times  B)
=> A/B = 1.5 =3/2

2. A-B = 1.5B (A is  1.5 times faster than  B)
=> A=2.5B
=> A/B=2.5 =5/2

Hope it helps.

VandyonWheels · Answer

Thanks! I understand it now.Kudos to you!

edaciousx · Answer

Another way you can look at the English in #2 is...

A is 150% faster than B.

B = 1

A = 2.5 (150% faster/ 1.5 times faster.)

bumpbot · Answer

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a's speed is 1.5 times b's speed vs a is 1.5 times faster

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