SSC CGL 2025 Tier-I · 12 September 2025, Shift 3 · Quantitative Aptitude · Question 2 of 100

We transcribed this text from the pictures on a candidate's response sheet for this shift; the answer is the key SSC colour-marked on that sheet. Solution last reviewed 11 September 2026.

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SSC does not publish CGL question papers or a public answer key. From 2025 the candidate response sheet prints every question and option as a picture, so the text here is transcribed from those pictures for this shift and checked against them independently; where the layout carries meaning, the picture is shown as well. Each answer is the key SSC colour-marked on that sheet. SSC released a tentative key for challenge and later its final one, both only to candidates behind a login, and the sheet does not say which of the two it carries. The solutions are written by UnlockIAS.

A car travels 0.875 km in 1 minute. How far does it travel in 1 hour 45 minutes?

(a)91.875km
(b)94.576 km
(c)95.444 km
(d)92.582 km

Answer

Why

Correct — A. The rate is per minute, so put the time in minutes.

1 hour 45 minutes = 60 + 45 = 105 minutes
Distance = rate × time = 0.875 × 105
Write 0.875 as 7⁄8: 7⁄8 × 105 = 735⁄8
= 91.875 km → option (a)

Why the others are wrong

(b)
94.576 km — At 0.875 km a minute, 94.576 km would take about 108.09 minutes, over three minutes more than the 105 in 1 hour 45 minutes.
(c)
95.444 km — 95.444 km would need about 109.08 minutes at this rate. The trip lasts 105 minutes, so this distance is too long.
(d)
92.582 km — The nearest wrong value, but still 0.707 km too far: 92.582 km needs about 105.81 minutes, not 105.

Concept

Distance = speed × time works only when the speed and the time use the same unit. The speed here is per minute, so the time must be in minutes.

The other route converts the speed instead: 0.875 km/min × 60 = 52.5 km/h, and 1 hour 45 minutes = 1.75 h. Then 52.5 × 1.75 = 91.875 km, the same answer.

Spotting 0.875 = 7⁄8 turns the multiplication into 735 ÷ 8.

Rounding the rate to 0.9 km a minute gives 0.9 × 105 = 94.5 km, close to options (b) and (c). The options are too close together for an estimate; the exact product is needed.

Key facts

1 hour 45 minutes = 105 minutes = 1.75 hours.
0.875 = 7⁄8, so 0.875 × 105 = 735⁄8 = 91.875.
A speed in km per minute times 60 gives km per hour: 0.875 km/min = 52.5 km/h.

Study next

Converting between km/h and m/s (multiply by 5⁄18)Decimal-to-fraction equivalents for eighths: 0.125, 0.375, 0.625, 0.875Average speed over two legs covered at different speeds

Common traps

Reading 1 hour 45 minutes as 1.45 hours: 45 minutes is 45⁄60 = 0.75 of an hour.
Multiplying the per-minute rate by 1.75: 0.875 × 1.75 ≈ 1.53 km mixes a per-minute rate with a time in hours.

Here the rate is per minute and the time is in hours and minutes, so the item is a unit conversion. The same 1 hour 45 minutes (1.75 h) is the route time at 15 Sep 2025, 16:00, Quant Q.18, and 4 hours 48 minutes becomes 4.8 h at 15 Sep 2025, 12:30, Quant Q.13.

Related PYQs

No directly related past PYQ was found.

Topic: Time and distance — all 47 SSC CGL questions on it, every solved shift.