Question

Mike said last week I ran 15 miles further than Bell. Pete said last week I ran 1 mile less than three times as far as Bill. If Mike and Pete ran the same distance how far did bill run

Answer 1

The distance cover by Bell is 8 miles .

Explanation:

Given as :

The distance cover by Mike = The distance cover by Pete = D miles

Let The distance cover by Bell = d miles

The distance cover by Mike = 15 miles + distance cover by Bell

i.e D = 15 + d ............1

Again

The distance cover by Pete = three time distance cover by Bell - 1 miles

i.e D = 3 × B - 1

Or, D = 3 d - 1 ............2

Now, Solving equation 1 and 2

So, 15 + d = 3 d - 1

Or, 3 d - d = 15 + 1

Or, 2 d = 16

∴ d =
`(16)/(2)`

i.e d = 8 miles

So,The distance cover by Bell = d = 8 miles

Hence, The distance cover by Bell is 8 miles . Answer