Mathematics, 05.08.2019 00:00 jackfrost5

Jones can paint a car in 8 hours. smith can paint the same car in 6 hours. they start to paint the car together. after 2 hours, jones leaves for lunch and smith finishes painting the car alone. how long does it take smith to finish?

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Answer from: mkay78

Jones takes 8 hours , therefore in one hour he paints a fraction of 1/8
smith takes 6 hours, thus in one hour he paints a fraction of 1/6
When working together they paint a fraction of 7/24 in an hour.
After 2 hours they will have painted a fraction of (7/24) ×2 = 7/12
The remainder will be 5/12 which will be undertake by smith alone.
Smith will therefore take 5/12 ×6/1 = 2.5 hour or 2 hours 30 minutes

Answer from: luhmimi17

Jones paints 1 car in 8 hours, so in 2 hours he can paint 2/8 th that is 1/4 th part of the car. Similarly Smith can paint 1 car in 6 hours. So in 2 hours he can paint 2/6 th that is 1/3rd of the car. When they start painting a car together they will finish (1/4 + 1/3) part of the car in 2 hours which equals to 7/12. So they finished 7/12 part of the cars painting. So what part of the car is left to be painted (1-7/12) which equals to 5/12. So smith has to paint the remaining 5/12 part of the car to finish the full painting. It takes 6 hours to complete the full car painting on his own. So it will take (5/12 multiplied by 6) amount of time to finish the rest painting which equal 5/2 hours or 2.5 hours.

Answer from: Quest

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

Answer from: Quest

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

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