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suter [353]
3 years ago
5

1/4 y + 9=1/2 A -34 b 2 c 9 d 38

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0
¹/₄y + 9 = ½

¹/₄y = ½-9

¹/₄y = -¹⁷/₂

y = -34
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This question is incomplete; here is the complete question.

A train traveled from station A to station B at an average speed of 80 kilometers per hour and then from station B to station C at an average of 60 kilometers per hour. If the train did not stop at station b, what was the average speed at which the train traveled from station A to C?

(i). The distance that the train traveled from station A to station B was 4 times the distance that train traveled from station B to station C.

(ii). The amount of time it took to the train to travel from station A to station B is 3 times the amount of time that it took the train to travel from station B to station C.

(i) Let the distance between station B and station C = x km

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= \frac{4x}{80}

Similarly time taken to travel between station B and station C with speed 60 km per hour = \frac{x}{60} km per hour

Now average speed between station A and station C = \frac{\text{Total distance between station A and station C}}{\text{time taken to travel}}

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(ii). Let the train took the time to cover the distance between station B and station C = t hours

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= 60t

Now average speed between station A and station C = \frac{240t+60t}{(3t+t)}

= \frac{300t}{4t}

= 75 km per hour

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