SOLUTION: Amirah travels by coach from Singapore to Penang, which are 700km apart, to visit her grandparents. She returns to Singapore by car at an average speed which is 30km/h greater than

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Question 1125450: Amirah travels by coach from Singapore to Penang, which are 700km apart, to visit her grandparents. She returns to Singapore by car at an average speed which is 30km/h greater than that of a coach.
(i) If the average speed of the car is x km/h and the time taken for the whole journey is 20 hours, formulate an equation in x and show that it reduces to x²-100x+1050=0
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
                           SPEED      TIME           DISTANCE

Singapore to Penang         x-30      700/(x-30)     700

Penang to Singapore (car)    x        700/x          700

TOTAL                                  20

700%2F%28x-30%29%2B700%2Fx=20
-
35%2F%28x-30%29%2B35%2Fx=1
35x%2B35%28x-30%29=x%5E2-30x
70x-1050=x%5E2-30x
x%5E2-30x-70x%2B1050=0
x%5E2-100x%2B1050----------the equation you wanted

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Amirah travels by coach from Singapore to Penang, which are 700km apart, to visit her grandparents. She returns to Singapore by car at an average speed which is 30km/h greater than that of a coach.
(i) If the average speed of the car is x km/h and the time taken for the whole journey is 20 hours, formulate an equation in x and show that it reduces to x²-100x+1050=0
Why do you keep posting this problem when itw's answered quite a few times, months ago, I believe, as Question 1123073, and Travel_Word_Problems/1122780?

I wish there was a way to throw all of these DUPLICATE questions in the TRASH.

They take away time from other students who desperately need tutors' help, when these DUPLICATES keep getting answered!!