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Two planes are flying towards each …

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Two planes are flying towards each other and the difference between their speeds is 60km/have. If they are 2400km apart and passes each other after 5 hours,find their speeds.

  • 1 answers

Rupender Singh 6 years, 11 months ago

Let the speed of First plane is x km/hr and second plane is (x + 60) km/hr. 

Time taken to pass each other = 5 hours. 

Than, Distance covered by first plane in 5 hours = speed × time = x × 5 = 5x. 

           Distance covered by second plane in 5 hours = speed × time = (x + 60) 5 = 5x + 300

Distance coverec by first plane + distance covered by second plane = 2400 km

                                                                                              5x + (5x + 300) = 2400

                                                                                                       10x + 300 = 2400

                                                                                                                  10x = 2400 - 300 = 2100

                                                                                                                    x = {tex}{{2100} \over {10}}\, = \,210{/tex}

Hence, the speed of first plane is = x = 210 km/hr

and the speed of second plane is = x + 60 = 210 + 60 = 270 km/hr

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