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One quick way of doing this question is to apply the concept that when distance is constant, if speed gets multipiled x then time will get multiplied by 1/x.

So here the speed was increased by 20% which i.e multiplied by 1.2
So time will get multiplied by 1/1.2

Since she started 20 mins late and reached 15 mins late, we can infer that she gained just 5 mins by increasing her speed.

So if t is the oringinal time then

t - (t/1.2) = 5, hence t = 30 answer D
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