If Ashok travelled at 4 / 5^th of his usual speed, he would reach his destination 15 minutes la

step 1 Hi, here in this given problem, suppose usual speed of Ashok, suppose that is V and distance of

If Ashok travelled at 4 / 5^th of his usual speed, he would...

If Ashok travelled at $4 / 5^{\text {th }}$ of his usual speed, he would reach his destination 15 minutes late. By how many minutes would he be early if he travelled at $6 / 5^{\text {th }}$ of his usual speed?
(A) 12
(B) 10
(C) 15
(D) 20

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Key Concepts

Proportional Reasoning

Proportional reasoning helps in comparing the effects of different speed fractions relative to the usual speed. By understanding and applying ratios, one can deduce how varying one factor (speed) impacts another (time), enabling the analysis of timing deviations from the expected schedule.

Algebraic Reasoning

Setting up and manipulating algebraic equations is key when dealing with changes in speed and their effect on travel time. Through forming equations that represent scenarios with altered speeds, one can methodically solve for unknowns such as differences in arrival time.

Distance-Speed-Time Relationship

This concept is based on the formula that relates distance, speed, and time: distance equals speed multiplied by time. When the distance remains constant, the time taken is directly influenced by changes in speed, making it essential for analyzing travel scenarios.

Inverse Proportionality

For a fixed distance, time is inversely proportional to speed. This means that if speed decreases by a certain factor, the travel time increases by the reciprocal of that factor, and vice versa. Understanding this relationship is crucial for determining how changes in speed impact arrival times.

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