1. Good post? |

rate - bus driver

on each shift, a bus driver earns x dollars per hour for the first 8 hours worked and 1.5x dollars per hour for each hour over 8 hours. If the driver earns \$475 for a week in which he worked 5 shifts, what is the value of x?

9
10
22
14
cannot be determined

2. Good post? |
How many hours bus driver worked in each shift ? If I assume different hours ( sometimes >8 , sometimes <8 ) my answer will be different, even though the total income is \$475.

If I assume, bus driver has to work minm 8 hours ( though not written anywhere ) , then x could be 10

40x + 1.5x * n ( extra times ) = 475

x = 10 , n = 5 hrs extra ( spread accross 5 shifts )

So, I am in dilemma, which one is the answer .. 10 or cannot be determined

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IMO cannot be determined unless total hours worked is mentioned

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The driver worked 5 shifts OK, Suppose he worked overtime daily ( May be) say for Y hrs then total hrs he worked in a week is 5x8 + 5Y = 40 + 5Y. Now He gets x dollars for first 8 hrs and 1.5x dollars for Overtime Hrs. So we can put up equation
40x + 5Y*1.5X = 475. Now Until we know Y We can't find out X.

Ans E Can't be determined.

5. Good post? |
Th answer cannot be found until the number of hours for overtime is mentioned.
Therefore x = 95/(8+1.5*n)
where n = overtime hours

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