Directions: Read the table carefully and answer the following question. The…
2023
Directions: Read the table carefully and answer the following question.
The table shows the data about distance (km) covered from one point to another point by the vehicle used between each point and speed of each vehicle (km/hr). i.e., If one person wants to travel from P to S, then he/she can only use vehicle available at the point P
Note: ** means there is no direct connection between given points
If Raj wants to travel from P to R, then find the minimum time required to cover this distance by Raj.
- A.
40 hours
- B.
40.5 hours
- C.
30.5 hours
- D.
35 hours
- E.
42 hours
Attempted by 3 students.
Show answer & explanation
Correct answer: C
Concept: On any leg of a journey, time = distance / speed. Here the vehicle (and therefore the speed) is fixed by the STARTING point of that leg, not the destination. "**" means two points are not directly connected, so a blocked pair must be bypassed through an intermediate point. To get the minimum time you must list every connected route between the endpoints, compute each route's total time leg-by-leg, and pick the smallest.
Application: Raj travels from P to R. P to R is marked **, so there is no direct link — he must route through an intermediate point. The connected routes from P to R are:
Route P → S → R: P → S uses P's vehicle (Taxi, 80 km/hr): 520 / 80 = 6.5 h. S → R uses S's vehicle (Bike, 25 km/hr): 600 / 25 = 24 h. Total = 6.5 + 24 = 30.5 h.
Route P → Q → S → R: P → Q (Taxi, 80): 240 / 80 = 3 h. Q → S (Bus, 50): 400 / 50 = 8 h. S → R (Bike, 25): 600 / 25 = 24 h. Total = 3 + 8 + 24 = 35 h.
Note that P → Q → R is impossible because Q → R is also **; so only the two routes above are available.
Cross-check & result: Comparing the only two connected routes, 30.5 h < 35 h, so the route through S alone is the faster one. The minimum time required is 30.5 hours.