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Arjun covers a certain distance from his home to college at a usual speed of 24 km/hr and takes a certain time. When he increases usual speed by 6 km/hr, he takes 30 minutes less than usual. If he reduces his usual speed by 4 km/hr, he takes 30 minutes more than usual. Find the distance from his home to college. 

Arjun covers a certain distance from his home to college at a usual speed of 24 km/hr and takes a certain time. When he increases usual speed by 6 km/hr, he takes 30 minutes less than usual. If he reduces his usual speed by 4 km/hr, he takes 30 minutes more than usual. Find the distance from his home to college.  Correct Answer 60 km

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If Rati travels at his usual speed for ‘x’ hours, he covers the same distance as he covered when he travels at a speed 30 km/hr less than usual, but for (x + 3) hours. Which of the following can be determined? (A) If he travels at 20 km/hr less speed than usual, he can cover a distance of 240 km in (x - 1) hours. What is the value of ‘x’? (B) If travels at his usual speed for (t + 2) hours, and at 50% of his usual speed for (t - 2) hours, his average speed for the journey is 68 km/hr. What is his usual speed? (C) His usual speed (in km/hr) is a multiple of 5 between 40 and 50 (both inclusive). If ‘x’ is a whole number, what is his usual speed? (D) If he travels at his usual speed for ‘t’ hours, he covers a distance of 400 km. What is the value of ‘x’?
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