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A person who decided to go weekend trip should not exceed 8 hours driving in a day Average speed of forward journey  is 40 mph. due to traffic in sundays, the return journey average speed is 30 mph. how far he can select a picnic spot
  • a)
    120 miles
  • b)
    110 miles
  • c)
    140 miles
  • d)
    130 miles
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A person who decided to go weekend trip should not exceed 8 hours driv...
Solution 
Total time= 8 hours

Time to go to the spot = 4 hours

Time to return = 4 hours

Average speed while going = 40 mph

Average speed while returning = 30 mph


Therefore

max distance while going = 4 � 40 m

= 160 m


max distance while returning =4 �30 m

= 120 m


Therefore

max distance he can select a picnic spot will be the least distance between max distance while going and coming

i.e., 120 m


Ans:- 120m

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Most Upvoted Answer
A person who decided to go weekend trip should not exceed 8 hours driv...
Given information:
- A person should not exceed 8 hours of driving in a day for a weekend trip
- Average speed of forward journey = 40 mph
- Average speed of return journey (on Sundays) = 30 mph

To find: How far he can select a picnic spot

Approach:
Let's assume the person drives for 'x' hours for the forward journey.
Then, he will also drive for '8 - x' hours for the return journey.

Using the formula: Distance = Speed x Time, we can find the distance covered by the person in each journey.

Calculation:
Distance of forward journey = 40x
Distance of return journey = 30(8 - x) = 240 - 30x

Total distance covered in the trip = Distance of forward journey + Distance of return journey
= 40x + 240 - 30x
= 10x + 240

As the person should not exceed 8 hours of driving, we can assume x ≤ 8.

Now, we need to find the maximum possible value of (10x + 240) for x ≤ 8.

By substituting x = 8, we get:
Total distance covered in the trip = 10(8) + 240 = 320 miles

By substituting x = 7, we get:
Total distance covered in the trip = 10(7) + 240 = 310 miles

By substituting x = 6, we get:
Total distance covered in the trip = 10(6) + 240 = 300 miles

By substituting x = 5, we get:
Total distance covered in the trip = 10(5) + 240 = 250 miles

By substituting x = 4, we get:
Total distance covered in the trip = 10(4) + 240 = 240 miles

As the person should not exceed 8 hours of driving, the maximum distance he can select a picnic spot is 120 miles (when he drives for 4 hours for the forward journey).

Therefore, the correct answer is option A) 120 miles.
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