Explanation

Total work = 6 clerks _ 15 hours = 90 clerk-hours

Work done in first 5 hours = 6 _ 5 = 30 clerk-hours

Remaining work = 90 - 30 = 60 clerk-hours

Now total clerks = 6 + 3 = 9 clerks

Time to finish remaining work = 60 / 9 = 6.66 hours = 6 hours 40 minutes

Total time required = 5 hours + 6 hours 40 minutes = 11 hours 40 minutes

Last verified on 24-10-2026

Explanation

2.5 hours = 2.5 x 60 = 150 minutes

Fee = Rs. 6 for 150 minutes

Fee per minute = 6 / 150 = Rs. 0.04

= 4 Paisa per minute.

Last verified on 22-10-2026

Explanation

Next bus = 10:45 AM

Bus every 30 minutes, so last bus left at:

10:45 - 30 minutes = 10:15 AM

That bus left 10 minutes ago, so current time:

10:15 + 10 minutes = 10:25 AM

Last verified on 20-10-2026

Explanation

1 inch = 20 miles

Distance on map = 6 1/5 inches = 6.2 inches

Actual distance = 6.2 x 20 = 124 miles

Last verified on 20-10-2026

Explanation

2 hours 15 minutes = 2.25 hours

Speed = Distance / Time

= 162 / 2.25

= 72 km/h

Last verified on 20-10-2026

Explanation

6 clerks × 8 hours = 48 clerk-hours

48 clerk-hours = 720 applications

1 clerk-hour = 720 / 48 = 15 applications

Now:

5 clerks × 6 hours = 30 clerk-hours

30 × 15 = 450 applications

Last verified on 20-10-2026

Explanation

Time = Distance / Speed

Original time = 240 / v

New time = 240 / (v + 20)

Difference is 1 hour

So

240/v - 240/(v+20) = 1

Multiply both sides

240(v+20) - 240v = v(v+20)

4800 = v2 + 20v

v2 + 20v - 4800 = 0

v2 + 80v - 60v - 4800 = 0

v(v+80) - 60(v+80) = 0

(v+80)(v-60) = 0

v = 60

Last verified on 17-10-2026

Explanation

Convert the speeds of the trains from km/h to m/s

1 km/h = 1000 m/3600 s

Speed of the first train = 60 km/h = (60,000 m/3600 s) m/s = 16.67 m/s.

Speed of the second train = 45 km/h = (45,000 m/3600 s) m/s = 12.50 m/s.

Relative speed = Speed of the first train - Speed of the second train = 16.67 m/s - 12.50 m/s = 4.17 m/s.

Distance = Length of the second train = 500 meters.

Using the formula:

Distance = Speed × Time

Time = Distance / Relative speed = 500 meters / 4.17 m/s = 120.05 seconds.

To convert the time from seconds to minutes, we divide by 60:

Time in minutes = 120.05 seconds / 60 = 2 minutes (approximately).

Therefore, the first train will cross the second train after approximately 2 minutes.

Last verified on 13-10-2026

Explanation

Explanation

Total Distance = 300 + 300 = 600 km

Total Time = 4 + 6 = 10 hours

Average Speed = Total Distance / Total Time

= 600 / 10 = 60 km/h

Last verified on 12-10-2026