From a town, cars start at regular intervals of 30 s and run towards a second town with a constant speed of 60 km/hr so that the time between their arrival is . At some point of time, all of the cars leaving the first town reduce their speed to 40 km/hr due to bad weather conditions. What will be the time interval between consecutive cars reaching the second town after slowing down?
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Remembering the basic formula: d i s t a n c e = v e l o c i t y × t i m e
And knowing that the distance stays the same, we get: v e l o c i t y 1 × t i m e 1 = v e l o c i t y 2 × t i m e 2 t i m e 2 = ( v e l o c i t y 1 × t i m e 1 ) / v e l o c i t y 2 t i m e 2 = ( 6 0 k m / h r × 3 0 s ) / ( 4 0 k m / h r ) t i m e 2 = 4 5 s